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Finding the Fourth Proportional to 942.14, 1,413.72 and 394.70

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Solution

The fourth proportional to 942.14, 1,413.72 and 394.70 is: 592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,413.72 = 394.70 : x
  2. Step 2: Convert to fraction form
    942.14/1,413.72 = 394.70/x
  3. Step 3: Cross multiply
    942.14x = 1,413.72 × 394.70
  4. Step 4: Simplify right side
    942.14x = 557,995.28
  5. Step 5: Solve for x
    x = 557,995.28/942.14
  6. Step 6: Final answer
    x = 592.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.